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Finding the Fourth Proportional to 21,210.65, 31,820.07 and 8,061.99

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Solution

The fourth proportional to 21,210.65, 31,820.07 and 8,061.99 is: 12,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,210.65 : 31,820.07 = 8,061.99 : x
  2. Step 2: Convert to fraction form
    21,210.65/31,820.07 = 8,061.99/x
  3. Step 3: Cross multiply
    21,210.65x = 31,820.07 × 8,061.99
  4. Step 4: Simplify right side
    21,210.65x = 256,533,086.14
  5. Step 5: Solve for x
    x = 256,533,086.14/21,210.65
  6. Step 6: Final answer
    x = 12,094.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.